{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import yfinance as yf\n",
    "from datetime import datetime\n",
    "import pytz\n",
    "from numba import njit\n",
    "\n",
    "from pypfopt.efficient_frontier import EfficientFrontier\n",
    "from pypfopt import risk_models\n",
    "from pypfopt import expected_returns\n",
    "from pypfopt import base_optimizer\n",
    "\n",
    "import vectorbt as vbt\n",
    "from vectorbt.generic.nb import nanmean_nb\n",
    "from vectorbt.portfolio.nb import order_nb, sort_call_seq_nb\n",
    "from vectorbt.portfolio.enums import SizeType, Direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define params\n",
    "symbols = ['FB', 'AMZN', 'NFLX', 'GOOG', 'AAPL']\n",
    "start_date = datetime(2017, 1, 1, tzinfo=pytz.utc)\n",
    "end_date = datetime(2020, 1, 1, tzinfo=pytz.utc)\n",
    "num_tests = 2000\n",
    "\n",
    "vbt.settings.array_wrapper['freq'] = 'days'\n",
    "vbt.settings.returns['year_freq'] = '252 days'\n",
    "vbt.settings.portfolio['seed'] = 42\n",
    "vbt.settings.portfolio.stats['incl_unrealized'] = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['FB', 'AMZN', 'NFLX', 'GOOG', 'AAPL']\n"
     ]
    }
   ],
   "source": [
    "yfdata = vbt.YFData.download(symbols, start=start_date, end=end_date)\n",
    "\n",
    "print(yfdata.symbols)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dict_keys(['Open', 'High', 'Low', 'Close', 'Volume', 'Dividends', 'Stock Splits'])\n"
     ]
    }
   ],
   "source": [
    "ohlcv = yfdata.concat()\n",
    "\n",
    "print(ohlcv.keys())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "price = ohlcv['Close']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">AMZN</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(255, 127, 14); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"78.015625\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g><g class=\"traces\" transform=\"translate(140.640625,14.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">NFLX</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(44, 160, 44); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"73.28125\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g><g class=\"traces\" transform=\"translate(216.421875,14.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">GOOG</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(220, 57, 18); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" 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class=\"g-xtitle\"/><g class=\"g-ytitle\"/></g></svg>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot normalized price series\n",
    "(price / price.iloc[0]).vbt.plot().show_svg()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "returns = price.pct_change()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "symbol\n",
      "FB      0.000918\n",
      "AMZN    0.001341\n",
      "NFLX    0.001509\n",
      "GOOG    0.000812\n",
      "AAPL    0.001414\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(returns.mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "symbol\n",
      "FB      0.018262\n",
      "AMZN    0.017309\n",
      "NFLX    0.023354\n",
      "GOOG    0.014594\n",
      "AAPL    0.015544\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(returns.std())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "symbol        FB      AMZN      NFLX      GOOG      AAPL\n",
      "symbol                                                  \n",
      "FB      1.000000  0.595549  0.464163  0.612674  0.467665\n",
      "AMZN    0.595549  1.000000  0.614445  0.687693  0.601882\n",
      "NFLX    0.464163  0.614445  1.000000  0.554071  0.453648\n",
      "GOOG    0.612674  0.687693  0.554071  1.000000  0.605521\n",
      "AAPL    0.467665  0.601882  0.453648  0.605521  1.000000\n"
     ]
    }
   ],
   "source": [
    "print(returns.corr())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## vectorbt: Random search"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### One-time allocation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2000\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(42)\n",
    "\n",
    "# Generate random weights, n times\n",
    "weights = []\n",
    "for i in range(num_tests):\n",
    "    w = np.random.random_sample(len(symbols))\n",
    "    w = w / np.sum(w)\n",
    "    weights.append(w)\n",
    "\n",
    "print(len(weights))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MultiIndex([( 0.13319702814025883,    0,   'FB'),\n",
      "            ( 0.33810081711389406,    0, 'AMZN'),\n",
      "            ( 0.26031768763785473,    0, 'NFLX'),\n",
      "            (  0.2128998389048247,    0, 'GOOG'),\n",
      "            ( 0.05548462820316767,    0, 'AAPL'),\n",
      "            ( 0.06528491964469331,    1,   'FB'),\n",
      "            ( 0.02430844330237927,    1, 'AMZN'),\n",
      "            (  0.3625014516740258,    1, 'NFLX'),\n",
      "            (  0.2515713061862386,    1, 'GOOG'),\n",
      "            ( 0.29633387919266296,    1, 'AAPL'),\n",
      "            ...\n",
      "            (  0.2056564359049325, 1998,   'FB'),\n",
      "            ( 0.14846396871443943, 1998, 'AMZN'),\n",
      "            ( 0.21512097636364197, 1998, 'NFLX'),\n",
      "            (  0.3738566007394396, 1998, 'GOOG'),\n",
      "            (0.056902018277546554, 1998, 'AAPL'),\n",
      "            ( 0.25860265182212094, 1999,   'FB'),\n",
      "            (  0.2706191852849979, 1999, 'AMZN'),\n",
      "            (  0.2854538191129893, 1999, 'NFLX'),\n",
      "            ( 0.11985160754099378, 1999, 'GOOG'),\n",
      "            (  0.0654727362388982, 1999, 'AAPL')],\n",
      "           names=['weights', 'symbol_group', 'symbol'], length=10000)\n"
     ]
    }
   ],
   "source": [
    "# Build column hierarchy such that one weight corresponds to one price series\n",
    "_price = price.vbt.tile(num_tests, keys=pd.Index(np.arange(num_tests), name='symbol_group'))\n",
    "_price = _price.vbt.stack_index(pd.Index(np.concatenate(weights), name='weights'))\n",
    "\n",
    "print(_price.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(754, 10000)\n"
     ]
    }
   ],
   "source": [
    "# Define order size\n",
    "size = np.full_like(_price, np.nan)\n",
    "size[0, :] = np.concatenate(weights)  # allocate at first timestamp, do nothing afterwards\n",
    "\n",
    "print(size.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10000\n"
     ]
    }
   ],
   "source": [
    "# Run simulation\n",
    "pf = vbt.Portfolio.from_orders(\n",
    "    close=_price,\n",
    "    size=size,\n",
    "    size_type='targetpercent',\n",
    "    group_by='symbol_group',\n",
    "    cash_sharing=True\n",
    ") # all weights sum to 1, no shorting, and 100% investment in risky assets\n",
    "\n",
    "print(len(pf.orders))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot annualized return against volatility, color by sharpe ratio\n",
    "annualized_return = pf.annualized_return()\n",
    "annualized_return.index = pf.annualized_volatility()\n",
    "annualized_return.vbt.scatterplot(\n",
    "    trace_kwargs=dict(\n",
    "        mode='markers', \n",
    "        marker=dict(\n",
    "            color=pf.sharpe_ratio(),\n",
    "            colorbar=dict(\n",
    "                title='sharpe_ratio'\n",
    "            ),\n",
    "            size=5,\n",
    "            opacity=0.7\n",
    "        )\n",
    "    ),\n",
    "    xaxis_title='annualized_volatility',\n",
    "    yaxis_title='annualized_return'\n",
    ").show_svg()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "214\n"
     ]
    }
   ],
   "source": [
    "# Get index of the best group according to the target metric\n",
    "best_symbol_group = pf.sharpe_ratio().idxmax()\n",
    "\n",
    "print(best_symbol_group)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.18782144 0.14807743 0.0266817  0.01132979 0.62608964]\n"
     ]
    }
   ],
   "source": [
    "# Print best weights\n",
    "print(weights[best_symbol_group])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start                         2017-01-03 00:00:00+00:00\n",
      "End                           2019-12-31 00:00:00+00:00\n",
      "Period                                754 days 00:00:00\n",
      "Start Value                                       100.0\n",
      "End Value                                    243.693256\n",
      "Total Return [%]                             143.693256\n",
      "Benchmark Return [%]                         121.870057\n",
      "Max Gross Exposure [%]                            100.0\n",
      "Total Fees Paid                                     0.0\n",
      "Max Drawdown [%]                              33.993899\n",
      "Max Drawdown Duration                 277 days 00:00:00\n",
      "Total Trades                                          5\n",
      "Total Closed Trades                                   0\n",
      "Total Open Trades                                     5\n",
      "Open Trade PnL                               143.693256\n",
      "Win Rate [%]                                        NaN\n",
      "Best Trade [%]                                      NaN\n",
      "Worst Trade [%]                                     NaN\n",
      "Avg Winning Trade [%]                               NaN\n",
      "Avg Losing Trade [%]                                NaN\n",
      "Avg Winning Trade Duration                          NaT\n",
      "Avg Losing Trade Duration                           NaT\n",
      "Profit Factor                                       NaN\n",
      "Expectancy                                          NaN\n",
      "Sharpe Ratio                                   1.441149\n",
      "Calmar Ratio                                   1.020062\n",
      "Omega Ratio                                    1.298739\n",
      "Sortino Ratio                                  2.071869\n",
      "Name: 214, dtype: object\n"
     ]
    }
   ],
   "source": [
    "# Compute default stats\n",
    "print(pf.iloc[best_symbol_group].stats())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rebalance monthly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "36\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/olegpolakow/miniconda3/lib/python3.7/site-packages/pandas/core/arrays/datetimes.py:1146: UserWarning:\n",
      "\n",
      "Converting to PeriodArray/Index representation will drop timezone information.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Select the first index of each month\n",
    "rb_mask = ~_price.index.to_period('m').duplicated()\n",
    "\n",
    "print(rb_mask.sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(754, 10000)\n"
     ]
    }
   ],
   "source": [
    "rb_size = np.full_like(_price, np.nan)\n",
    "rb_size[rb_mask, :] = np.concatenate(weights)  # allocate at mask\n",
    "\n",
    "print(rb_size.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "359995\n"
     ]
    }
   ],
   "source": [
    "# Run simulation, with rebalancing monthly\n",
    "rb_pf = vbt.Portfolio.from_orders(\n",
    "    close=_price,\n",
    "    size=rb_size,\n",
    "    size_type='targetpercent',\n",
    "    group_by='symbol_group',\n",
    "    cash_sharing=True,\n",
    "    call_seq='auto'  # important: sell before buy\n",
    ")\n",
    "\n",
    "print(len(rb_pf.orders))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "214\n"
     ]
    }
   ],
   "source": [
    "rb_best_symbol_group = rb_pf.sharpe_ratio().idxmax()\n",
    "\n",
    "print(rb_best_symbol_group)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.18782144 0.14807743 0.0266817  0.01132979 0.62608964]\n"
     ]
    }
   ],
   "source": [
    "print(weights[rb_best_symbol_group])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start                           2017-01-03 00:00:00+00:00\n",
      "End                             2019-12-31 00:00:00+00:00\n",
      "Period                                  754 days 00:00:00\n",
      "Start Value                                         100.0\n",
      "End Value                                      248.651338\n",
      "Total Return [%]                               148.651338\n",
      "Benchmark Return [%]                           121.870057\n",
      "Max Gross Exposure [%]                              100.0\n",
      "Total Fees Paid                                       0.0\n",
      "Max Drawdown [%]                                33.258623\n",
      "Max Drawdown Duration                   256 days 00:00:00\n",
      "Total Trades                                           92\n",
      "Total Closed Trades                                    87\n",
      "Total Open Trades                                       5\n",
      "Open Trade PnL                                 117.477516\n",
      "Win Rate [%]                                    97.701149\n",
      "Best Trade [%]                                 189.769858\n",
      "Worst Trade [%]                                 -4.766427\n",
      "Avg Winning Trade [%]                           54.827116\n",
      "Avg Losing Trade [%]                             -2.86779\n",
      "Avg Winning Trade Duration    360 days 17:13:24.705882352\n",
      "Avg Losing Trade Duration               492 days 12:00:00\n",
      "Profit Factor                                  218.080541\n",
      "Expectancy                                        0.35832\n",
      "Sharpe Ratio                                      1.47594\n",
      "Calmar Ratio                                     1.069964\n",
      "Omega Ratio                                      1.306485\n",
      "Sortino Ratio                                     2.12855\n",
      "Name: 214, dtype: object\n"
     ]
    }
   ],
   "source": [
    "print(rb_pf.iloc[rb_best_symbol_group].stats())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_allocation(rb_pf):\n",
    "    # Plot weights development of the portfolio\n",
    "    rb_asset_value = rb_pf.asset_value(group_by=False)\n",
    "    rb_value = rb_pf.value()\n",
    "    rb_idxs = np.flatnonzero((rb_pf.asset_flow() != 0).any(axis=1))\n",
    "    rb_dates = rb_pf.wrapper.index[rb_idxs]\n",
    "    fig = (rb_asset_value.vbt / rb_value).vbt.plot(\n",
    "        trace_names=symbols,\n",
    "        trace_kwargs=dict(\n",
    "            stackgroup='one'\n",
    "        )\n",
    "    )\n",
    "    for rb_date in rb_dates:\n",
    "        fig.add_shape(\n",
    "            dict(\n",
    "                xref='x',\n",
    "                yref='paper',\n",
    "                x0=rb_date,\n",
    "                x1=rb_date,\n",
    "                y0=0,\n",
    "                y1=1,\n",
    "                line_color=fig.layout.template.layout.plot_bgcolor\n",
    "            )\n",
    "        )\n",
    "    fig.show_svg()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_allocation(rb_pf.iloc[rb_best_symbol_group])  # best group"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Search and rebalance every 30 days"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Utilize low-level API to dynamically search for best Sharpe ratio and rebalance accordingly. Compared to previous method, we won't utilize stacking, but do search in a loop instead. We also will use days instead of months, as latter may contain a various number of trading days."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "srb_sharpe = np.full(price.shape[0], np.nan)\n",
    "\n",
    "@njit\n",
    "def pre_sim_func_nb(c, every_nth):\n",
    "    # Define rebalancing days\n",
    "    c.segment_mask[:, :] = False\n",
    "    c.segment_mask[every_nth::every_nth, :] = True\n",
    "    return ()\n",
    "\n",
    "@njit\n",
    "def find_weights_nb(c, price, num_tests):\n",
    "    # Find optimal weights based on best Sharpe ratio\n",
    "    returns = (price[1:] - price[:-1]) / price[:-1]\n",
    "    returns = returns[1:, :]  # cannot compute np.cov with NaN\n",
    "    mean = nanmean_nb(returns)\n",
    "    cov = np.cov(returns, rowvar=False)  # masked arrays not supported by Numba (yet)\n",
    "    best_sharpe_ratio = -np.inf\n",
    "    weights = np.full(c.group_len, np.nan, dtype=np.float64)\n",
    "    \n",
    "    for i in range(num_tests):\n",
    "        # Generate weights\n",
    "        w = np.random.random_sample(c.group_len)\n",
    "        w = w / np.sum(w)\n",
    "        \n",
    "        # Compute annualized mean, covariance, and Sharpe ratio\n",
    "        p_return = np.sum(mean * w) * ann_factor\n",
    "        p_std = np.sqrt(np.dot(w.T, np.dot(cov, w))) * np.sqrt(ann_factor)\n",
    "        sharpe_ratio = p_return / p_std\n",
    "        if sharpe_ratio > best_sharpe_ratio:\n",
    "            best_sharpe_ratio = sharpe_ratio\n",
    "            weights = w\n",
    "            \n",
    "    return best_sharpe_ratio, weights\n",
    "\n",
    "@njit\n",
    "def pre_segment_func_nb(c, find_weights_nb, history_len, ann_factor, num_tests, srb_sharpe):\n",
    "    if history_len == -1:\n",
    "        # Look back at the entire time period\n",
    "        close = c.close[:c.i, c.from_col:c.to_col]\n",
    "    else:\n",
    "        # Look back at a fixed time period\n",
    "        if c.i - history_len <= 0:\n",
    "            return (np.full(c.group_len, np.nan),)  # insufficient data\n",
    "        close = c.close[c.i - history_len:c.i, c.from_col:c.to_col]\n",
    "\n",
    "    # Find optimal weights\n",
    "    best_sharpe_ratio, weights = find_weights_nb(c, close, num_tests)\n",
    "    srb_sharpe[c.i] = best_sharpe_ratio\n",
    "\n",
    "    # Update valuation price and reorder orders\n",
    "    size_type = SizeType.TargetPercent\n",
    "    direction = Direction.LongOnly\n",
    "    order_value_out = np.empty(c.group_len, dtype=np.float64)\n",
    "    for k in range(c.group_len):\n",
    "        col = c.from_col + k\n",
    "        c.last_val_price[col] = c.close[c.i, col]\n",
    "    sort_call_seq_nb(c, weights, size_type, direction, order_value_out)\n",
    "\n",
    "    return (weights,)\n",
    "\n",
    "@njit\n",
    "def order_func_nb(c, weights):\n",
    "    col_i = c.call_seq_now[c.call_idx]\n",
    "    return order_nb(\n",
    "        weights[col_i], \n",
    "        c.close[c.i, c.col],\n",
    "        size_type=SizeType.TargetPercent\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "ann_factor = returns.vbt.returns.ann_factor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Run simulation using a custom order function\n",
    "srb_pf = vbt.Portfolio.from_order_func(\n",
    "    price,\n",
    "    order_func_nb,\n",
    "    pre_sim_func_nb=pre_sim_func_nb,\n",
    "    pre_sim_args=(30,),\n",
    "    pre_segment_func_nb=pre_segment_func_nb,\n",
    "    pre_segment_args=(find_weights_nb, -1, ann_factor, num_tests, srb_sharpe),\n",
    "    cash_sharing=True, \n",
    "    group_by=True\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
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     "metadata": {},
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    }
   ],
   "source": [
    "# Plot best Sharpe ratio at each rebalancing day\n",
    "pd.Series(srb_sharpe, index=price.index).vbt.scatterplot(trace_kwargs=dict(mode='markers')).show_svg()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start                           2017-01-03 00:00:00+00:00\n",
      "End                             2019-12-31 00:00:00+00:00\n",
      "Period                                  754 days 00:00:00\n",
      "Start Value                                         100.0\n",
      "End Value                                      182.103898\n",
      "Total Return [%]                                82.103898\n",
      "Benchmark Return [%]                           121.870057\n",
      "Max Gross Exposure [%]                              100.0\n",
      "Total Fees Paid                                       0.0\n",
      "Max Drawdown [%]                                34.350877\n",
      "Max Drawdown Duration                   310 days 00:00:00\n",
      "Total Trades                                           67\n",
      "Total Closed Trades                                    62\n",
      "Total Open Trades                                       5\n",
      "Open Trade PnL                                  33.965423\n",
      "Win Rate [%]                                    77.419355\n",
      "Best Trade [%]                                   43.78028\n",
      "Worst Trade [%]                                -15.059913\n",
      "Avg Winning Trade [%]                           13.720936\n",
      "Avg Losing Trade [%]                            -4.410183\n",
      "Avg Winning Trade Duration              334 days 09:00:00\n",
      "Avg Losing Trade Duration     439 days 06:51:25.714285712\n",
      "Profit Factor                                    6.379302\n",
      "Expectancy                                       0.776427\n",
      "Sharpe Ratio                                     0.959325\n",
      "Calmar Ratio                                     0.645715\n",
      "Omega Ratio                                      1.193184\n",
      "Sortino Ratio                                    1.366078\n",
      "Name: group, dtype: object\n"
     ]
    }
   ],
   "source": [
    "print(srb_pf.stats())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
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   "source": [
    "plot_allocation(srb_pf)"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "You can see how weights stabilize themselves with growing data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Run simulation, but now consider only the last 252 days of data\n",
    "srb252_sharpe = np.full(price.shape[0], np.nan)\n",
    "\n",
    "srb252_pf = vbt.Portfolio.from_order_func(\n",
    "    price,\n",
    "    order_func_nb,\n",
    "    pre_sim_func_nb=pre_sim_func_nb,\n",
    "    pre_sim_args=(30,),\n",
    "    pre_segment_func_nb=pre_segment_func_nb,\n",
    "    pre_segment_args=(find_weights_nb, 252, ann_factor, num_tests, srb252_sharpe),\n",
    "    cash_sharing=True, \n",
    "    group_by=True\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
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   "source": [
    "pd.Series(srb252_sharpe, index=price.index).vbt.scatterplot(trace_kwargs=dict(mode='markers')).show_svg()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
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    {
     "name": "stdout",
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     "text": [
      "Start                           2017-01-03 00:00:00+00:00\n",
      "End                             2019-12-31 00:00:00+00:00\n",
      "Period                                  754 days 00:00:00\n",
      "Start Value                                         100.0\n",
      "End Value                                      138.658042\n",
      "Total Return [%]                                38.658042\n",
      "Benchmark Return [%]                           121.870057\n",
      "Max Gross Exposure [%]                              100.0\n",
      "Total Fees Paid                                       0.0\n",
      "Max Drawdown [%]                                33.135977\n",
      "Max Drawdown Duration                   192 days 00:00:00\n",
      "Total Trades                                           39\n",
      "Total Closed Trades                                    34\n",
      "Total Open Trades                                       5\n",
      "Open Trade PnL                                  10.464979\n",
      "Win Rate [%]                                    58.823529\n",
      "Best Trade [%]                                  16.361723\n",
      "Worst Trade [%]                                -15.501637\n",
      "Avg Winning Trade [%]                            9.395734\n",
      "Avg Losing Trade [%]                            -4.970106\n",
      "Avg Winning Trade Duration              300 days 00:00:00\n",
      "Avg Losing Trade Duration     244 days 06:51:25.714285712\n",
      "Profit Factor                                    5.487362\n",
      "Expectancy                                       0.829208\n",
      "Sharpe Ratio                                     0.581345\n",
      "Calmar Ratio                                     0.348339\n",
      "Omega Ratio                                       1.13617\n",
      "Sortino Ratio                                    0.834951\n",
      "Name: group, dtype: object\n"
     ]
    }
   ],
   "source": [
    "print(srb252_pf.stats())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_allocation(srb252_pf)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A much more volatile weight distribution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PyPortfolioOpt + vectorbt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### One-time allocation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.      0.22232 0.06347 0.      0.7142 ]\n"
     ]
    }
   ],
   "source": [
    "# Calculate expected returns and sample covariance amtrix\n",
    "avg_returns = expected_returns.mean_historical_return(price)\n",
    "cov_mat = risk_models.sample_cov(price)\n",
    "\n",
    "# Get weights maximizing the Sharpe ratio\n",
    "ef = EfficientFrontier(avg_returns, cov_mat)\n",
    "weights = ef.max_sharpe()\n",
    "clean_weights = ef.clean_weights()\n",
    "pyopt_weights = np.array([clean_weights[symbol] for symbol in symbols])\n",
    "\n",
    "print(pyopt_weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(754, 5)\n"
     ]
    }
   ],
   "source": [
    "pyopt_size = np.full_like(price, np.nan)\n",
    "pyopt_size[0, :] = pyopt_weights  # allocate at first timestamp, do nothing afterwards\n",
    "\n",
    "print(pyopt_size.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3\n"
     ]
    }
   ],
   "source": [
    "# Run simulation with weights from PyPortfolioOpt\n",
    "pyopt_pf = vbt.Portfolio.from_orders(\n",
    "    close=price,\n",
    "    size=pyopt_size,\n",
    "    size_type='targetpercent',\n",
    "    group_by=True,\n",
    "    cash_sharing=True\n",
    ")\n",
    "\n",
    "print(len(pyopt_pf.orders))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Faster than stacking solution, but doesn't let you compare weights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start                         2017-01-03 00:00:00+00:00\n",
      "End                           2019-12-31 00:00:00+00:00\n",
      "Period                                754 days 00:00:00\n",
      "Start Value                                       100.0\n",
      "End Value                                    259.637702\n",
      "Total Return [%]                             159.637702\n",
      "Benchmark Return [%]                         121.870057\n",
      "Max Gross Exposure [%]                        99.999615\n",
      "Total Fees Paid                                     0.0\n",
      "Max Drawdown [%]                               35.25499\n",
      "Max Drawdown Duration                 266 days 00:00:00\n",
      "Total Trades                                          3\n",
      "Total Closed Trades                                   0\n",
      "Total Open Trades                                     3\n",
      "Open Trade PnL                               159.637702\n",
      "Win Rate [%]                                        NaN\n",
      "Best Trade [%]                                      NaN\n",
      "Worst Trade [%]                                     NaN\n",
      "Avg Winning Trade [%]                               NaN\n",
      "Avg Losing Trade [%]                                NaN\n",
      "Avg Winning Trade Duration                          NaT\n",
      "Avg Losing Trade Duration                           NaT\n",
      "Profit Factor                                       NaN\n",
      "Expectancy                                          NaN\n",
      "Sharpe Ratio                                   1.495774\n",
      "Calmar Ratio                                   1.065352\n",
      "Omega Ratio                                    1.311767\n",
      "Sortino Ratio                                  2.186792\n",
      "Name: group, dtype: object\n"
     ]
    }
   ],
   "source": [
    "print(pyopt_pf.stats())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Search and rebalance monthly"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can't use third-party optimization packages within Numba (yet).\n",
    "\n",
    "Here you have two choices:\n",
    "1) Use `os.environ['NUMBA_DISABLE_JIT'] = '1'` before all imports to disable Numba completely\n",
    "2) Disable Numba for the function, but also for every other function in the stack that calls it\n",
    "\n",
    "We will demonstrate the second option."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pyopt_find_weights(sc, price, num_tests):  # no @njit decorator = it's a pure Python function\n",
    "    # Calculate expected returns and sample covariance matrix\n",
    "    price = pd.DataFrame(price, columns=symbols)\n",
    "    avg_returns = expected_returns.mean_historical_return(price)\n",
    "    cov_mat = risk_models.sample_cov(price)\n",
    "\n",
    "    # Get weights maximizing the Sharpe ratio\n",
    "    ef = EfficientFrontier(avg_returns, cov_mat)\n",
    "    weights = ef.max_sharpe()\n",
    "    clean_weights = ef.clean_weights()\n",
    "    weights = np.array([clean_weights[symbol] for symbol in symbols])\n",
    "    best_sharpe_ratio = base_optimizer.portfolio_performance(weights, avg_returns, cov_mat)[2]\n",
    "            \n",
    "    return best_sharpe_ratio, weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "pyopt_srb_sharpe = np.full(price.shape[0], np.nan)\n",
    "\n",
    "# Run simulation with a custom order function\n",
    "pyopt_srb_pf = vbt.Portfolio.from_order_func(\n",
    "    price,\n",
    "    order_func_nb,\n",
    "    pre_sim_func_nb=pre_sim_func_nb,\n",
    "    pre_sim_args=(30,),\n",
    "    pre_segment_func_nb=pre_segment_func_nb.py_func,  # run pre_segment_func_nb as pure Python function\n",
    "    pre_segment_args=(pyopt_find_weights, -1, ann_factor, num_tests, pyopt_srb_sharpe),\n",
    "    cash_sharing=True, \n",
    "    group_by=True,\n",
    "    use_numba=False  # run simulate_nb as pure Python function\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
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   "source": [
    "pd.Series(pyopt_srb_sharpe, index=price.index).vbt.scatterplot(trace_kwargs=dict(mode='markers')).show_svg()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start                         2017-01-03 00:00:00+00:00\n",
      "End                           2019-12-31 00:00:00+00:00\n",
      "Period                                754 days 00:00:00\n",
      "Start Value                                       100.0\n",
      "End Value                                    166.711167\n",
      "Total Return [%]                              66.711167\n",
      "Benchmark Return [%]                         121.870057\n",
      "Max Gross Exposure [%]                            100.0\n",
      "Total Fees Paid                                     0.0\n",
      "Max Drawdown [%]                              35.363921\n",
      "Max Drawdown Duration                 333 days 00:00:00\n",
      "Total Trades                                         44\n",
      "Total Closed Trades                                  41\n",
      "Total Open Trades                                     3\n",
      "Open Trade PnL                                27.442055\n",
      "Win Rate [%]                                   78.04878\n",
      "Best Trade [%]                                35.953901\n",
      "Worst Trade [%]                              -30.635401\n",
      "Avg Winning Trade [%]                         12.751618\n",
      "Avg Losing Trade [%]                          -9.885814\n",
      "Avg Winning Trade Duration            195 days 22:30:00\n",
      "Avg Losing Trade Duration             173 days 08:00:00\n",
      "Profit Factor                                  3.224386\n",
      "Expectancy                                     0.957783\n",
      "Sharpe Ratio                                   0.808511\n",
      "Calmar Ratio                                   0.526731\n",
      "Omega Ratio                                    1.160979\n",
      "Sortino Ratio                                  1.148531\n",
      "Name: group, dtype: object\n"
     ]
    }
   ],
   "source": [
    "print(pyopt_srb_pf.stats())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
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   "outputs": [],
   "source": []
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